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An attractor for the singularly perturbed Kirchhoff equation with supercritical nonlinearity

✍ Scribed by Li, Ke; Wei, Hongjun


Book ID
121439591
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
318 KB
Volume
411
Category
Article
ISSN
0022-247X

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Attractors for Kirchhoff’s equation with
✍ Stanislav Kolbasin πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 603 KB

We consider Kirchhoff's equation with a nonlinear damping coefficient depending on the displacement. The equation is proven to generate a dissipative semigroup possessing both compact global and exponential attractors.